201100101120 has 120 divisors (see below), whose sum is σ = 696466289376. Its totient is φ = 53626687488.

The previous prime is 201100101119. The next prime is 201100101199. The reversal of 201100101120 is 21101001102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4341112 + ... + 4387191.

Almost surely, 2^201100101120 is an apocalyptic number.

201100101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201100101120 is an abundant number, since it is smaller than the sum of its proper divisors (495366188256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201100101120 is an equidigital number, since it uses as much as digits as its factorization.

201100101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8728332 (or 8728313 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201100101120 its reverse (21101001102), we get a palindrome (222201102222).

The spelling of 201100101120 in words is "two hundred one billion, one hundred million, one hundred one thousand, one hundred twenty".